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Simplifying 5x + 21 = 2(x + 21) Reorder the terms: 21 + 5x = 2(x + 21) Reorder the terms: 21 + 5x = 2(21 + x) 21 + 5x = (21 * 2 + x * 2) 21 + 5x = (42 + 2x) Solving 21 + 5x = 42 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 21 + 5x + -2x = 42 + 2x + -2x Combine like terms: 5x + -2x = 3x 21 + 3x = 42 + 2x + -2x Combine like terms: 2x + -2x = 0 21 + 3x = 42 + 0 21 + 3x = 42 Add '-21' to each side of the equation. 21 + -21 + 3x = 42 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 42 + -21 3x = 42 + -21 Combine like terms: 42 + -21 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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